1209.2016 (Andreas G. A. Pithis)

The Gibbs paradox, Black hole entropy and the thermodynamics of isolated
horizons    [PDF]

Andreas G. A. Pithis

This letter presents a new argument for considering the states of the quantum isolated horizon as distinguishable. It is claimed that only if the states are distinguishable, the entropy is an extensive quantity and can be well-defined. To show this, the comparison with a classical ideal gas system is explicitly given, whose statistical description makes only sense, if an additional 1/N! is included in the state counting, curing the Gibbs paradox. The difference with the statistical description of a quantum isolated horizon is elaborated, to make the claim evident. This letter is a product of the author's diploma thesis.

View original: http://arxiv.org/abs/1209.2016